Factorization of the $R$-matrix for the quantum algebra $U_q(s\ell_n)$
    
    
  
  
  
      
      
      
        
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 21, Tome 374 (2010), pp. 92-106
    
  
  
  
  
  
    
      
      
        
      
      
      
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              			We propose the method for constructing the general solution of the Yang–Baxter equation with $U_q(s\ell_n)$ algebra symmetry, which is based on the factorization property of the corresponding $L$-operator. We present the closed-form expression for the universal $R$-matrix being the difference operator acting on the space of functions of $n(n-1)$ variables. Bibl. – 16 titles.
			
            
            
            
          
        
      @article{ZNSL_2010_374_a5,
     author = {P. A. Valinevich},
     title = {Factorization of the $R$-matrix for the quantum algebra $U_q(s\ell_n)$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {92--106},
     publisher = {mathdoc},
     volume = {374},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_374_a5/}
}
                      
                      
                    P. A. Valinevich. Factorization of the $R$-matrix for the quantum algebra $U_q(s\ell_n)$. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 21, Tome 374 (2010), pp. 92-106. http://geodesic.mathdoc.fr/item/ZNSL_2010_374_a5/